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3 years ago

Which is a solution to the equation? (x-2)(x + 5) = 18

Mathematics

1 answer:

anastassius [24]3 years ago

6 0

The first one is correct!

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Whats 290 x 4000 pls help

tigry1 [53]

Answer: it’s 1160000

Step-by-step explanation: hope I helped:)

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2 years ago

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To break the school’s record, the girls’ time had to be faster than

Finger [1]

Answer:The answer is no they are slower by 20%

Step-by-step explanation:divide 12 by 5 then divid the answer of 12 by 5 by 2 then you get the answer of 20%

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2 years ago

Electrical wire is being wound around a drum with a radius of 1.1 meters. How much line (to the nearest hundredth of a meter) wo

Rudik [331]

Answer:

6.81m

Step-by-step explanation:

Using the formula for finding the length of am arc

L = theta/360° × 2πr

theta is the angle subtended by the drum in rotation

r is the radius of the drum

Given theta = 315.7°

r = 1.1m

Substituting the given values into the formula we have:

L = 315.7/360 × 2π(1.1)

L = 315.7/360 × 2.2π

L = 315.7/360 × 2.2(3.14)

L = 315.7/360 × 6.91

L = 6.81metres

Line of about 6.81metres will be wounded around the drum

7 0

3 years ago

Solve The Equation <br> 4x×9y=7<br> 4x-9y=9

hoa [83]

Answer:

$\large\boxed{x=\dfrac{9}{8}-\dfrac{\sqrt{109}}{8},\ y=-\dfrac{1}{2}-\dfrac{\sqrt{109}}{18}}\\or\\\boxed{x=\dfrac{9}{8}+\dfrac{\sqrt{109}}{2},\ y=-\dfrac{1}{2}+\dfrac{\sqrt{109}}{18}}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}4x\times9y=7&(1)\\4x-9y=9&(2)\end{array}\right\\\\(2)\\4x-9y=9\qquad\text{subtract}\ 4x\ \text{from both sides}\\-9y=-4x+9\qquad\text{change the signs}\\9y=4x-9\qquad\text{substitute it to (1)}\\\\4x(4x-9)=7\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\(4x)(4x)+(4x)(-9)=7\\(4x)^2-36x=7\\(4x)^2-2(4x)(4.5)=7\qquad\text{add}\ 4.5^2\ \text{to both sides}\\(4x)^2-2(4x)(4.5)+4.5^2=7+4.5^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2$

$(4x-4.5)^2=7+20.25\\(4x-4.5)=27.25\to 4x-4.5=\pm\sqrt{27.25}\\\\4x-\dfrac{45}{10}=\pm\sqrt{\dfrac{2725}{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{2725}}{\sqrt{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25\cdot109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25}\cdot\sqrt{109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{5\sqrt{109}}{10}\qquad\text{add}\ \dfrac{45}{10}\ \text{to both sides}\\\\4x=\dfrac{45}{10}\pm\dfrac{5\sqrt{109}}{10}$

$4x=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 4}\\\\x=\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\\\\\text{Put the values of}\ x\ \text{to (2):}\\\\9y=4\left(\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\right)-9\\\\9y=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}-\dfrac{18}{2}\\\\9y=-\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 9}\\\\y=-\dfrac{1}{2}\pm\dfrac{\sqrt{109}}{18}$

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3 years ago

The scatter plot shows the number on minutes spent reading (x) and the number of pages read (y) by each Seven student last night

Illusion [34]

Answer:

Step-by-step explanation:

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3 years ago